Integrability and symmetries of difference equations: the Adler-Bobenko-Suris case P Xenitidis arXiv preprint arXiv:0902.3954, 2009 | 56 | 2009 |
Recursion operators, conservation laws, and integrability conditions for difference equations AV Mikhailov, JP Wang, P Xenitidis Theoretical and Mathematical Physics 167, 421-443, 2011 | 55 | 2011 |
Symmetries and integrability of discrete equations defined on a black–white lattice PD Xenitidis, VG Papageorgiou Journal of Physics A: Mathematical and Theoretical 42 (45), 454025, 2009 | 47 | 2009 |
Second order integrability conditions for difference equations: an integrable equation AV Mikhailov, P Xenitidis Letters in Mathematical Physics 104, 431-450, 2014 | 45 | 2014 |
Reduction groups and related integrable difference systems of nonlinear Schrödinger type S Konstantinou-Rizos, AV Mikhailov, P Xenitidis Journal of Mathematical Physics 56 (8), 2015 | 37 | 2015 |
On the Lagrangian formulation of multidimensionally consistent systems P Xenitidis, F Nijhoff, S Lobb Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011 | 35 | 2011 |
Cosymmetries and Nijenhuis recursion operators for difference equations AV Mikhailov, JP Wang, P Xenitidis Nonlinearity 24 (7), 2079, 2011 | 34 | 2011 |
Affine linear and D4 symmetric lattice equations: symmetry analysis and reductions A Tongas, D Tsoubelis, P Xenitidis Journal of Physics A: Mathematical and Theoretical 40 (44), 13353, 2007 | 34 | 2007 |
graded discrete Lax pairs and integrable difference equations AP Fordy, P Xenitidis Journal of Physics A: Mathematical and Theoretical 50 (16), 165205, 2017 | 29 | 2017 |
A family of integrable nonlinear equations of hyperbolic type A Tongas, D Tsoubelis, P Xenitidis Journal of Mathematical Physics 42 (12), 5762-5784, 2001 | 27 | 2001 |
Symmetries and conservation laws of the ABS equations and corresponding differential–difference equations of Volterra type P Xenitidis Journal of Physics A: Mathematical and Theoretical 44, 435201, 2011 | 20 | 2011 |
Symmetries and conservation laws of lattice Boussinesq equations P Xenitidis, F Nijhoff Physics Letters A 376 (35), 2394-2401, 2012 | 17 | 2012 |
Determining the symmetries of difference equations P Xenitidis Proceedings of the Royal Society A 474 (2219), 20180340, 2018 | 14 | 2018 |
Darboux transformations with tetrahedral reduction group and related integrable systems G Berkeley, AV Mikhailov, P Xenitidis Journal of Mathematical Physics 57 (9), 2016 | 12 | 2016 |
Integrability aspects of a Schwarzian PDE A Tongas, D Tsoubelis, P Xenitidis Physics Letters A 284 (6), 266-274, 2001 | 9 | 2001 |
Continuous symmetric reductions of the Adler–Bobenko–Suris equations D Tsoubelis, P Xenitidis Journal of Physics A: Mathematical and Theoretical 42 (16), 165203, 2009 | 8 | 2009 |
Symmetries of ℤN graded discrete integrable systems AP Fordy, P Xenitidis Journal of Physics A: Mathematical and Theoretical 53 (23), 2020 | 7 | 2020 |
graded discrete Lax pairs and discrete integrable systems AP Fordy, P Xenitidis arXiv preprint arXiv:1411.6059, 2014 | 7 | 2014 |
graded discrete Lax pairs and Yang–Baxter maps AP Fordy, P Xenitidis Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2017 | 5 | 2017 |
A discrete Darboux–Lax scheme for integrable difference equations X Fisenko, S Konstantinou-Rizos, P Xenitidis Chaos, Solitons & Fractals 158, 112059, 2022 | 4 | 2022 |